Least Common Multiple of 4031 and 4039

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4031 and 4039 the smallest integer that is 16281209 that is divisible by both numbers.

Least Common Multiple (LCM) of 4031 and 4039 is 16281209.

LCM(4031,4039) = 16281209

LCM of 4031 and 4039

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4031 and 4039

LCM of 4031 and 4039 is 16281209

Least common multiple can be found by multiplying the highest exponent prime factors of 4031 and 4039. First we will calculate the prime factors of 4031 and 4039.

Prime Factorization of 4031


29 4031
139 139
1

Prime factors of 4031 are 29,139. Prime factorization of 4031 in exponential form is:

4031 = 291×1391

Prime Factorization of 4039


7 4039
577 577
1

Prime factors of 4039 are 7,577. Prime factorization of 4039 in exponential form is:

4039 = 71×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 4031 and 4039.

LCM(4031,4039) = 71×291×1391×5771
LCM(4031,4039) = 16281209

Factors of 4031

List of positive integer factors of 4031 that divides 4031 without a remainder.

1, 29, 139, 4031

Factors of 4039

List of positive integer factors of 4039 that divides 4039 without a remainder.

1, 7, 577, 4039

Least Common Multiple of 4031 and 4039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4031 and 4039, than apply into the LCM equation.

GCF(4031,4039) = 1
LCM(4031,4039) = ( 4031 × 4039) / 1
LCM(4031,4039) = 16281209 / 1
LCM(4031,4039) = 16281209

Properties of LCM 4031 and 4039

(i) The LCM of 4039 and 4031 is associative

LCM of 4031 and 4039 = LCM of 4039 and 4031

Related Least Common Multiples of 4031

Related Least Common Multiples of 4039

Frequently Asked Questions on LCM of 4031 and 4039

1. What is the LCM of 4031 and 4039?

Answer: LCM of 4031 and 4039 is 16281209.

2. What are the Factors of 4031?

Answer: Factors of 4031 are 1, 29, 139, 4031. There are 4 integers that are factors of 4031. The greatest factor of 4031 is 4031.

3. What are the Factors of 4039?

Answer: Factors of 4039 are 1, 7, 577, 4039. There are 4 integers that are factors of 4039. The greatest factor of 4039 is 4039.

4. How to Find the LCM of 4031 and 4039?

Answer:

Least Common Multiple of 4031 and 4039 = 16281209

Step 1: Find the prime factorization of 4031

4031 = 29 x 139

Step 2: Find the prime factorization of 4039

4039 = 7 x 577

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 16281209 = 7 x 29 x 139 x 577

Step 4: Therefore, the least common multiple of 4031 and 4039 is 16281209.